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For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10-4. The curvature in the beam cross-section (in m-1, round off to 3 decimal places), is __________.
Correct answer is '0.001'. Can you explain this answer?
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For a given loading on a rectangular plain concrete beam with an overa...
Given, ∈ = ∈t = ∈c = 2.5x10-4
y = 250 mm = 0.25 m
As per flexure formula:
⇒
Curvature of beam cross-section⇒
= 0.001 m–1
Most Upvoted Answer
For a given loading on a rectangular plain concrete beam with an overa...
To determine the compressive and tensile strains at the extreme fibers, we need to use the formula:
ε = (σ / E)
Where:
ε = strain
σ = stress
E = modulus of elasticity
Since the compressive strain and tensile strain are of the same magnitude, we can assume that the stress developed at the extreme fibers in compression and tension are also of the same magnitude.
Let's assume the stress developed at the extreme fibers is σ.
For compression:
ε_c = σ / E
For tension:
ε_t = -σ / E (negative sign indicates tension)
Given that ε_c = ε_t = 2.5, we can equate the equations:
2.5 = σ / E
Solving for σ:
σ = 2.5 * E
Now, we need to find the modulus of elasticity (E) for concrete. The modulus of elasticity for concrete typically ranges from 24,000 to 40,000 MPa.
Assuming E = 30,000 MPa, we can calculate the stress:
σ = 2.5 * 30,000
σ = 75,000 MPa
Therefore, the compressive and tensile stresses at the extreme fibers are 75,000 MPa.
Note: The given information does not specify the units for strain. Please make sure to use the appropriate units in calculations.
ε = (σ / E)
Where:
ε = strain
σ = stress
E = modulus of elasticity
Since the compressive strain and tensile strain are of the same magnitude, we can assume that the stress developed at the extreme fibers in compression and tension are also of the same magnitude.
Let's assume the stress developed at the extreme fibers is σ.
For compression:
ε_c = σ / E
For tension:
ε_t = -σ / E (negative sign indicates tension)
Given that ε_c = ε_t = 2.5, we can equate the equations:
2.5 = σ / E
Solving for σ:
σ = 2.5 * E
Now, we need to find the modulus of elasticity (E) for concrete. The modulus of elasticity for concrete typically ranges from 24,000 to 40,000 MPa.
Assuming E = 30,000 MPa, we can calculate the stress:
σ = 2.5 * 30,000
σ = 75,000 MPa
Therefore, the compressive and tensile stresses at the extreme fibers are 75,000 MPa.
Note: The given information does not specify the units for strain. Please make sure to use the appropriate units in calculations.
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For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10-4. The curvature in the beam cross-section (in m-1, round off to 3 decimal places), is __________.Correct answer is '0.001'. Can you explain this answer?
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For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10-4. The curvature in the beam cross-section (in m-1, round off to 3 decimal places), is __________.Correct answer is '0.001'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10-4. The curvature in the beam cross-section (in m-1, round off to 3 decimal places), is __________.Correct answer is '0.001'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10-4. The curvature in the beam cross-section (in m-1, round off to 3 decimal places), is __________.Correct answer is '0.001'. Can you explain this answer?.
For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10-4. The curvature in the beam cross-section (in m-1, round off to 3 decimal places), is __________.Correct answer is '0.001'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10-4. The curvature in the beam cross-section (in m-1, round off to 3 decimal places), is __________.Correct answer is '0.001'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10-4. The curvature in the beam cross-section (in m-1, round off to 3 decimal places), is __________.Correct answer is '0.001'. Can you explain this answer?.
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